Fixed point theorem for generalized weak contractions satisfying rational expressions in ordered metric spaces

نویسندگان

  • Nguyen Van Luong
  • Nguyen Xuan Thuan
چکیده

* Correspondence: [email protected] Department of Natural Sciences, Hong Duc University, Thanh Hoa, Vietnam Abstract In this paper, we prove a fixed point theorem for generalized weak contractions satisfying rational expressions in partially ordered metric spaces. The result is a generalization of a recent result of Harjani et al. (Abstr. Appl. Anal, Vol.2010, 1-8, 2010). An example is also given to show that our result is a proper generalization of the existing one. 2000 Mathematics Subject Classification: 47H10, 54H25.

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تاریخ انتشار 2011